The former Newcastle United forward has spent the 2012/13 campaign at West Ham after he was deemed surplus to requirements by the Anfield club following the appointment of Rodgers.
However, while it seems unlikely any team will match the £35million fee initially paid by Liverpool, the Reds will be hoping for a sizeable return on their investment should they sell the 24-year-old this summer.
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"It's nothing to discuss now," Rodgers told Fox. "It's something we'll speak about at the end of the season."
Carroll has made a positive impact at Upton Park, scoring five league goals, including two against West Brom on Saturday. But the 6ft3 Geordie has also struggled with injuries, only starting 15 league matches this term.
"We've monitored it very closely. We've had representatives from Liverpool at most of the games," Rodgers continued.
"It's obviously been a difficult season for Andy because his initial idea was he wanted to go out and play every week, but unfortunately for him he's picked up some injuries since he's been away.
"But he scored two very good goals at the weekend and he'll be looking to finish the season on a high and achieve the objectives he wanted to before he went out."